An iterative approach to plan combination in radiotherapy |
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| Institution: | 1. Department of Oncology, University College London Hospitals NHS Foundation Trust, London, UK;2. Department of Radiation Oncology, Ghent University Hospital, Gent, Belgium;1. Faculty of Dentistry, SEGi University, Malaysia;2. Department of Oral Pathology, Radiology & Medicine, College of Dentistry & Dental Clinics, University of Iowa, USA;1. Department of Oncology, University College London Hospitals NHS Foundation Trust, London, UK;2. Department of Nuclear Medicine, University College London Hospitals NHS Foundation Trust, London, UK;3. Department of Paediatric and Adolescent Oncology, University College London Hospitals NHS Foundation Trust, London, UK;1. Department of Medical Physics, Royal Surrey County Hospital NHS Foundation Trust, Guildford, Surrey, UK;2. National Physical Laboratory, Teddington, UK;3. Department of Chemical and Process Engineering, University of Surrey, Guildford, Surrey, UK;4. Department of Physics, University of Surrey, Guildford, Surrey, UK |
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| Abstract: | Radiation therapy concerns the delivery of a proper dose of radiation to a tumor volume without causing irreparable damage to surrounding healthy tissue and critical organs. The problem of plan combination in radiation therapy treatment planning (RTTP) proposed, formulated and studied here, addresses a situation when for a specific clinical case, a set of several treatment plans is proposed, but each one of them violates the prescribed dose in at least one significant region of the volume that has to be treated. We represent treatment plans as vectors in the Euclidean space, and define their equivalence, acceptability and realizability. A simple linear algebraic model for combining them is then used in order to derive, from the given set of approximate plans, a combined treatment plan, which will be both acceptable, and technically realizable. In the event that such a combined plan does not exist, the alternatives for relaxing the treatment requirements can be systematically considered. |
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